Question

The table below gives the number of absences and the overall grade in the class for five randomly selected students. Based on this data, consider the equation of the regression line, yˆ=b0+b1x y ^ = b 0 + b 1 x , for using the number of absences to predict a student's overall grade in the class. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant. Number of Absences 5 5 6 6 9 9 11 11 13 13 Grade 95 95 92 92 87 87 86 86 70 70

Step 1 of 6:

Find the estimated slope. Round your answer to three decimal places.

Step 2 of 6:

Find the estimated y-intercept. Round your answer to three decimal places.

Step 3 of 6:

Find the estimated value of y when x=13x=13. Round your answer to three decimal places.

tep 4 of 6:

According to the estimated linear model, if the value of the independent variable is increased by one unit, then the change in the dependent variable yˆy^ is given by?

Step 5 of 6:

Determine the value of the dependent variable yˆy^ at x=0x=0.

tep 6 of 6:

Find the value of the coefficient of determination. Round your answer to three decimal places.

Answer 1

Step 1 of 6: slope-2.634

Step 2 of 6: intercept=109.179

Step 3 of 6: predicted value =109.179-2.634*13=74.937

tep 4 of 6 :

change in the dependent variable =-2.634

Step 5 of 6: y=109.179

tep 6 of 6: coefficient of determination =0.831